Eyewitness testimony is often found to be wrong in criminal situations where the events occurred very quickly and the witnesses weren't necessarily focused on the actors.

That is not the eyewitness testimony described in the Bible. The apostles walked with Jesus for three years, they saw him die, they saw copious amounts of blood and water escape his body after his side was pierced, and then they spent significant amounts of time with him over forty days following his resurrection. It bears no resemblance to the poor record of eyewitness testimony that you're referring to.